4.2 Elementary Matrix Operations Review

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form of rows x columns (e.g., 2x3 means 2 rows and 3 columns).

Front

How do you add two matrices?

Back

To add two matrices, they must have the same dimensions. Add corresponding elements.

Front

What is matrix subtraction?

Back

Matrix subtraction involves subtracting corresponding elements of two matrices of the same dimensions.

Front

What is the result of adding a 2x2 matrix and a 2x2 matrix?

Back

The result is another 2x2 matrix.

Front

What is the result of subtracting a 2x3 matrix from a 2x3 matrix?

Back

The result is another 2x3 matrix.

Front

What does it mean if matrix addition is not possible?

Back

Matrix addition is not possible if the matrices do not have the same dimensions.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero.

Front

How do you perform scalar multiplication on a matrix?

Back

Multiply each element of the matrix by the scalar value.